Entanglement measures based on observable correlations |
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Authors: | Shunlong Luo |
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Institution: | (1) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, People’s Republic of China |
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Abstract: | By regarding quantum states as communication channels and using observable correlations quantitatively expressed by mutual
information, we introduce a hierarchy of entanglement measures that includes the entanglement of formation as a particular
instance. We compare the maximal and minimal measures and indicate the conceptual advantages of the minimal measure over the
entanglement of formation. We reveal a curious feature of the entanglement of formation by showing that it can exceed the
quantum mutual information, which is usually regarded as a theoretical measure of total correlations. This places the entanglement
of formation in a broader scenario, highlights its peculiarity in relation to pure-state ensembles, and introduces a competing
definition with intrinsic informational significance.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 3, pp. 453–462, June, 2008. |
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Keywords: | entanglement mutual information observable correlations entanglement of formation |
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